... And It Is Probably That There

But The Extraordinary Insight Which Some Persons Are Able To Gain Of Others From Indications So Slight That It Is Difficult To Ascertain What They Are, Is Certainly Rendered More Comprehensible By The View Here Taken.

Among The Minor, Yet Striking Characteristics Of Mathematics, May Be Mentioned The Fleshless And Skeletal Build Of Its Propositions; The Peculiar Difficulty, Complication, And Stress Of Its Reasonings; The Perfect Exactitude Of Its Results; Their Broad Universality; Their Practical Infallibility.

Unless Man Have A Natural Bent In Accordance With Nature's, He Has No Chance Of Understanding Nature At All.

If Man Were Immortal He Could Be Perfectly Sure Of Seeing The Day When Everything In Which He Had Trusted Should Betray His Trust, And, In Short, Of Coming Eventually To Hopeless Misery. He Would Break Down, At Last, As Every Good Fortune, As Every Dynasty, As Every Civilization Does. In Place Of This We Have Death.

Truth Is That Concordance Of An Abstract Statement With The Ideal Limit Towards Which Endless Investigation Would Tend To Bring Scientific Belief, Which Concordance The Abstract Statement May Possess By Virtue Of The Confession Of Its Inaccuracy And One-sidedness, And This Confession Is An Essential Ingredient Of Truth.